Constrained Nonlinear Regression

Notes
Output Created		21-FEB-2002 17:59:44
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss_US.sav
	Filter	wlc = 1 (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	54
Syntax		MODEL PROGRAM EMIN=100 EMAX=90 ED=5 GSD=2 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR bodyweig
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 4; ED >= -2; GSD <= 50; GSD >= .01; EMIN >= 0
  /BOOTSTRAP
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:01.12

All the derivatives will be calculated numerically.




  Iteration Residual SS        EMIN        EMAX          ED         GSD

     0.4    6309.488120  100.000000  90.0000000  4.00000000  2.00000000
     1.4    5150.606026  96.8336013  87.7525166  3.81001608  3.51987136
     2.2    4475.133542  100.663294  79.0374679  3.28033465  5.88333047
     3.2    4316.395790  99.8964843  76.1414828  1.52101884  3.92643874
     4.2    1951.800499  100.451479  56.2914975  2.74029285  2.00015869
     5.4    1436.619842  105.640127  46.3431055  2.62263507  1.92690878
     6.3    1380.411003  121.491583  31.6576155  2.71601257  5.18599066
     7.2    1227.904052  117.748620  38.1963339  2.00845683  3.69794910
     8.1    1138.491781  115.972997  40.6271554  1.86042946  3.17797428
     9.2    1055.363947  114.899450  41.7531909  1.84182372  2.92631236
    10.1    869.6921875  107.919479  48.8005676  1.72349373  1.45448732
    11.1    805.0970848  108.871284  47.5006430  1.90003071  1.82261012
    12.1    716.5715920  107.446150  51.1691733  1.76950877  1.67517945
    13.1    676.9279514  105.169022  55.3252108  1.68162839  1.38048373
    14.1    669.4161197  105.266166  56.2138132  1.62673579  1.41686545
    15.1    668.0545834  105.118480  56.8334028  1.61191451  1.39893303
    16.1    661.5106004  104.682636  59.8797427  1.52412040  1.32471085
    17.1    649.0100438  103.836474  67.2306194  1.28501464  1.13446181
    18.1    637.4610650  103.261898  72.5549890  1.08674078  .958791138
    19.1    614.4734817  102.826846  77.3304956  .878182012  .747477911
    20.1    560.7682141  103.339250  80.0213391  .654667799  .486888711
    21.1    527.4748572  104.091017  77.7109488  .720803804  .588000214
    22.1    524.4684444  104.347836  78.1077835  .733208570  .660299377
    23.1    520.4977108  104.140591  77.8071440  .743797568  .631578423
    24.1    520.4390676  104.175654  77.8241177  .741452254  .627920693
    25.1    520.4324149  104.168457  77.8285586  .742422881  .627381473
    26.1    520.4316972  104.166657  77.8350519  .742572099  .626951534
    27.1    520.4316825  104.166474  77.8365298  .742512219  .626870638
    28.1    520.4316811  104.166414  77.8370630  .742482486  .626844336

Run stopped after 28 major iterations.
Optimal solution found.





Nonlinear Regression Summary Statistics     Dependent Variable BODYWEIG

  Source                 DF  Sum of Squares  Mean Square

  Regression              4   496889.27595   124222.31899
  Residual               50      520.43168       10.40863
  Uncorrected Total      54   497409.70764

  (Corrected Total)      53     5904.26105

  R squared = 1 - Residual SS / Corrected SS =     .91185

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  EMIN      104.16641364   .716634300 102.72701129 105.60581600
  EMAX      77.837062950  1.717769831 74.386820703 81.287305198
  ED          .742482486   .089891743   .561929608   .923035365
  GSD         .626844336   .114442311   .396980190   .856708482

  Asymptotic Correlation Matrix of the Parameter Estimates

                EMIN      EMAX        ED       GSD

  EMIN        1.0000    -.1760    -.1970     .4094
  EMAX        -.1760    1.0000    -.7380    -.7061
  ED          -.1970    -.7380    1.0000     .4251
  GSD          .4094    -.7061     .4251    1.0000

Bootstrap statistics based on 100 samples

                                     95% Conf. Bounds     95% Trimmed Range
  Parameter  Estimate  Std. Error    Lower      Upper      Lower      Upper

  EMIN      104.166414   .4503004 103.272920 105.059907 103.367766 105.016562
  EMAX      77.8370630  2.4508625 72.9740201 82.7001058 71.7606148 81.1669217
  ED          .7424825   .1219062   .5005941   .9843709   .5336153  1.0463379
  GSD         .6268443   .1229222   .3829399   .8707487   .3700088   .9067223

  Bootstrap Correlation Matrix of the Parameter Estimates

                EMIN      EMAX        ED       GSD

  EMIN        1.0000    -.0679    -.1183     .3403
  EMAX        -.0679    1.0000    -.8596    -.7599
  ED          -.1183    -.8596    1.0000     .7418
  GSD          .3403    -.7599     .7418    1.0000

Constrained Nonlinear Regression

Notes
Output Created		21-FEB-2002 17:59:46
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss_US.sav
	Filter	wlc = 1 (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	54
Syntax		MODEL PROGRAM ED=1 GSD=1.14 EMIN=0.14 EMAX=0.03 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR thymus
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 4; ED >= -2; GSD <= 50; GSD >= .01; EMIN >= 0
  /BOOTSTRAP
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:01.10

All the derivatives will be calculated numerically.




  Iteration Residual SS          ED         GSD        EMIN        EMAX

     0.2    .0473119634  1.00000000  1.14000000  .140000000  .030000000
     1.2    .0250085104  .996722140  1.14054833  .133033860  -.01290189
     2.1    .0249747502  .995896794  1.14140522  .131967541  -.01159969
     3.1    .0237799244  .960102514  1.17442208  .133481427  -.01171701
     4.1    .0174061536  .628498691  1.47265413  .147981543  -.00731246
     5.1    .0162539760  .473190977  1.60594609  .155669386  -.00503130
     6.1    .0156577273  .308627795  1.74264412  .164417174  -.00433118
     7.1    .0154629991  .191348626  1.83652794  .171083339  -.00344669
     8.1    .0153941760  .104511767  1.90281912  .176327391  -.00375565
     9.1    .0153730369  .051571868  1.94017825  .179613423  -.00325060
    10.1    .0153636737  .024806928  1.95561181  .181324328  -.00341035
    11.1    .0153523326  .002807274  1.96257189  .182626788  -.00325735
    12.1    .0153219676  -.03439162  1.95932192  .184408809  -.00252456
    13.1    .0152526175  -.09120413  1.92294725  .186044128  -.00025281
    14.1    .0150639455  -.20135192  1.77886461  .186510301  .006940051
    15.1    .0147051329  -.35941320  1.40122830  .181397754  .023293915
    16.2    .0141155687  -.34042011  .911571505  .165949338  .038229420
    17.1    .0137089264  -.29722803  .724421025  .158346822  .043134123
    18.2    .0128561544  -.22158575  .641651284  .151121184  .044874040
    19.1    .0121996923  -.12322005  .843227746  .148084740  .036886397
    20.1    .0119226431  -.08240304  .692056822  .143442457  .038297121
    21.1    .0117888448  -.10707286  .665382823  .146289611  .038441322
    22.1    .0117688716  -.09035237  .676779746  .145905876  .037968425
    23.1    .0117655165  -.08075042  .678585518  .145793734  .037631837
    24.1    .0117654421  -.08046171  .680352968  .145864952  .037559721
    25.1    .0117654395  -.08037778  .679881786  .145854854  .037564842
    26.1    .0117654395  -.08040735  .679903854  .145855863  .037565329

Run stopped after 26 major iterations.
Optimal solution found.


Nonlinear Regression Summary Statistics     Dependent Variable THYMUS

  Source                 DF  Sum of Squares  Mean Square

  Regression              4         .54211         .13553
  Residual               50         .01177   2.353088E-04
  Uncorrected Total      54         .55388

  (Corrected Total)      53         .11597

  R squared = 1 - Residual SS / Corrected SS =     .89855




                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  ED         -.080407349   .093319359  -.267844798   .107030099
  GSD         .679903854   .128232378   .422341543   .937466164
  EMIN        .145855863   .004987349   .135838477   .155873249
  EMAX        .037565329   .004603083   .028319765   .046810893

  Asymptotic Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000    -.0478    -.4971    -.4394
  GSD         -.0478    1.0000     .5663    -.5330
  EMIN        -.4971     .5663    1.0000    -.1811
  EMAX        -.4394    -.5330    -.1811    1.0000

Bootstrap statistics based on 100 samples

                                     95% Conf. Bounds     95% Trimmed Range
  Parameter  Estimate  Std. Error    Lower      Upper      Lower      Upper

  ED         -.0804073   .0990213  -.2768871   .1160724  -.3234258   .0524891
  GSD         .6799039   .1799691   .3228061  1.0370016   .4309414  1.2589155
  EMIN        .1458559   .0082149   .1295557   .1621560   .1361977   .1670353
  EMAX        .0375653   .0034550   .0307098   .0444208   .0290332   .0421601

  Bootstrap Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000    -.5156    -.8123     .1243
  GSD         -.5156    1.0000     .7433    -.7547
  EMIN        -.8123     .7433    1.0000    -.4092
  EMAX         .1243    -.7547    -.4092    1.0000

Constrained Nonlinear Regression

Notes
Output Created		21-FEB-2002 17:59:47
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss_US.sav
	Filter	wlc = 1 (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	54
Syntax		MODEL PROGRAM ED=1 GSD=.65 EMIN=44 EMAX=1600 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR erod
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 4; ED >= -2; GSD <= 50; GSD >= .01; EMIN >= 0
  /BOOTSTRAP
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:01.05

All the derivatives will be calculated numerically.




  Iteration Residual SS          ED         GSD        EMIN        EMAX

     0.3    34238766.06  1.00000000  .650000000  44.0000000  1600.00000
     1.2    12668314.75  .953088666  1.42169145  845.017616  1663.45598
     2.2    10545098.24  .211021254  1.06695431  791.583612  2398.55130
     3.3    9434883.008  .525738794  .979162299  761.717761  2432.66654
     4.3    8164144.348  .357696671  .846078289  657.119744  2552.09611
     5.4    7975704.993  .243925564  .971197178  625.410304  2592.82555
     6.1    6905536.100  .674376684  1.60440534  372.023349  2852.41141
     7.1    6121420.974  .390444913  1.62503032  212.366716  3117.46407
     8.1    5536594.119  .383815273  1.71100676  .000000000  3274.05299
     9.1    5522760.302  .312446490  1.62163789  .000000000  3232.38670
    10.2    5461085.829  .112793140  1.50365135  .000000000  2851.45852
    11.3    5398572.415  -.22594902  1.33036179  .000000000  2303.01989
    12.1    5323157.278  -.54160661  1.04896288  .000000000  1865.00831
    13.1    5271253.313  -.62872556  .965147108  .000000000  1758.92671
    14.2    5082551.376  -.81377436  .794178745  .000000000  1574.21012
    15.1    4851499.285  -.90295888  .807710806  .000000000  1633.42323
    16.1    4822298.658  -.96242557  .711438112  .000000000  1563.35195
    17.3    4792137.313  -.92532665  .688077474  .000000000  1595.85365
    18.2    4777739.107  -.86317610  .588634056  99.1652392  1569.07662
    19.1    4777273.268  -.85929648  .599375953  94.7735688  1578.28984
    20.1    4776500.763  -.86763726  .599444667  84.9867189  1579.62234
    21.1    4776468.627  -.86498841  .595482233  88.5751460  1580.14941
    22.1    4776465.005  -.86572644  .596468334  87.7745008  1580.00647
    23.1    4776465.003  -.86571029  .596447093  87.7874239  1580.00034

Run stopped after 23 major iterations.
Optimal solution found.


Nonlinear Regression Summary Statistics     Dependent Variable EROD

  Source                 DF  Sum of Squares  Mean Square

  Regression              4  39212724.0378  9803181.00944
  Residual               32  4776465.00300   149264.53134
  Uncorrected Total      36  43989189.0408

  (Corrected Total)      35  15775785.0613

  R squared = 1 - Residual SS / Corrected SS =     .69723

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  ED         -.865710285   .199754296 -1.272596472  -.458824098
  GSD         .596447093   .311669523  -.038402952  1.231297137
  EMIN      87.787423901 238.21094848 -397.4323998 573.00724764
  EMAX      1580.0003395 183.35776008 1206.5128042 1953.4878748




  Asymptotic Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000    -.1948     .5927     .3287
  GSD         -.1948    1.0000    -.7538     .6790
  EMIN         .5927    -.7538    1.0000    -.3754
  EMAX         .3287     .6790    -.3754    1.0000

Bootstrap statistics based on 100 samples

                                     95% Conf. Bounds     95% Trimmed Range
  Parameter  Estimate  Std. Error    Lower      Upper      Lower      Upper

  ED         -.8657103   .2717690 -1.4049590  -.3264616 -1.1284028  -.0311145
  GSD         .5964471   .2735555   .0536537  1.1392405   .0830646  1.3590630
  EMIN      87.7874239 84.6467947 -80.170181 255.745029   .0000000 286.742112
  EMAX      1580.00034 365.555545 854.658831 2305.34185 1237.09163 2857.47048

  Bootstrap Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .6687    -.0399     .9243
  GSD          .6687    1.0000    -.7062     .7190
  EMIN        -.0399    -.7062    1.0000    -.2029
  EMAX         .9243     .7190    -.2029    1.0000

Constrained Nonlinear Regression

Notes
Output Created		21-FEB-2002 17:59:48
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss_US.sav
	Filter	wlc = 1 (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	54
Syntax		MODEL PROGRAM ED=1.46 GSD=.0385 EMIN=0.310 EMAX=0.435 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR ffa
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 4; ED >= -2; GSD <= 50; GSD >= .01; EMIN >= 0
  /BOOTSTRAP
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:02.38

All the derivatives will be calculated numerically.




  Iteration Residual SS          ED         GSD        EMIN        EMAX

     0.3    13.84350199  1.46000000  .038500000  .310000000  .435000000
     1.5    7.952119844  1.40327631  .038032767  .692326612  .692575568
     2.1    4.832999809  1.50134402  .097033684  .663439057  1.28299262
     3.3    4.766488604  1.20737010  .303084326  .599160452  1.42193677
     4.2    4.503211462  1.21968713  .010000000  .491484102  1.24203662
     5.1    4.192487120  1.28254006  .243642423  .543156610  1.19199528
     6.1    4.170330639  1.27772183  .205227366  .544280778  1.21437625
     7.1    4.150351719  1.28596640  .245885478  .553409849  1.25269504
     8.1    4.144301369  1.29415141  .249094429  .549893623  1.26237361
     9.1    4.138145970  1.31901147  .258537309  .542757583  1.28416439
    10.1    4.138062378  1.32085566  .258194881  .543552223  1.28497652
    11.1    4.138033757  1.32265541  .257206192  .544233037  1.28520142
    12.1    4.138033271  1.32269285  .256935697  .544247793  1.28510334
    13.1    4.138033227  1.32268488  .256836991  .544242438  1.28507170

Run stopped after 13 major iterations.
Optimal solution found.


Nonlinear Regression Summary Statistics     Dependent Variable FFA

  Source                 DF  Sum of Squares  Mean Square

  Regression              4       29.87225        7.46806
  Residual               50        4.13803         .08276
  Uncorrected Total      54       34.01029

  (Corrected Total)      53        7.95473

  R squared = 1 - Residual SS / Corrected SS =     .47980

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  ED         1.322684882   .136530628  1.048455044  1.596914719
  GSD         .256836991   .151383194  -.047225102   .560899084
  EMIN        .544242438   .048086842   .447657174   .640827702
  EMAX       1.285071695   .124727245  1.034549651  1.535593740

  Asymptotic Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000    -.0474     .2546     .5277
  GSD         -.0474    1.0000    -.2574     .3449
  EMIN         .2546    -.2574    1.0000    -.0221
  EMAX         .5277     .3449    -.0221    1.0000




Bootstrap statistics based on 100 samples

                                     95% Conf. Bounds     95% Trimmed Range
  Parameter  Estimate  Std. Error    Lower      Upper      Lower      Upper

  ED         1.3226849   .8874820  -.4382719  3.0836416  1.0414796  4.0000000
  GSD         .2568370   .2570408  -.2531877   .7668616   .0100000   .7289953
  EMIN        .5442424   .0662344   .4128190   .6756659   .4809730   .7495000
  EMAX       1.2850717   .6451976   .0048596  2.5652838   .0095446  3.2357716

  Bootstrap Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .0624     .6530    -.1438
  GSD          .0624    1.0000    -.4638     .8029
  EMIN         .6530    -.4638    1.0000    -.5716
  EMAX        -.1438     .8029    -.5716    1.0000

Constrained Nonlinear Regression

Notes
Output Created		21-FEB-2002 17:59:50
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss_US.sav
	Filter	wlc = 1 (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	54
Syntax		MODEL PROGRAM ED=1.46 GSD=1.023 EMIN=1.58 EMAX=3.53 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR bilirubi
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 3.477; ED >= -2; GSD <= 50; GSD >= .01; EMIN >= 0
  /BOOTSTRAP
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:01.78

All the derivatives will be calculated numerically.




  Iteration Residual SS          ED         GSD        EMIN        EMAX

     0.3    3228.321963  1.46000000  1.02300000  1.58000000  3.53000000
     1.3    2528.272087  1.33569510  .986606686  7.73452891  12.0573257
     2.2    1291.184326  1.82755589  .762278738  5.95789660  22.1756928
     3.2    1098.145099  1.67731004  .732748991  5.72402693  23.9215698
     4.2    579.7912422  1.51008064  .533102192  4.14286435  24.7488518
     5.2    482.9849426  1.51088394  .661210895  2.78063642  23.2107922
     6.2    420.9652683  1.54363545  .612847203  2.57412598  24.3578632
     7.2    386.3264419  1.49111712  .532975154  2.47691471  23.6332487
     8.1    342.5650226  1.42877345  .392829212  2.06423246  23.4372191
     9.1    342.0146851  1.44914341  .430074331  1.94323439  24.1203608
    10.1    341.1044635  1.41848645  .397640366  1.88043474  23.1452315
    11.1    341.0992660  1.42926588  .402774618  1.88165205  23.3508678
    12.1    341.0709955  1.42461634  .401214708  1.88287565  23.2715004
    13.1    341.0708702  1.42422301  .400547787  1.88327691  23.2572391
    14.1    341.0708565  1.42431268  .400701655  1.88313660  23.2607270
    15.1    341.0708565  1.42431271  .400702215  1.88314788  23.2606879

Run stopped after 15 major iterations.
Optimal solution found.


Nonlinear Regression Summary Statistics     Dependent Variable BILIRUBI

  Source                 DF  Sum of Squares  Mean Square

  Regression              4     4218.03914     1054.50979
  Residual               50      341.07086        6.82142
  Uncorrected Total      54     4559.11000

  (Corrected Total)      53     2769.13204

  R squared = 1 - Residual SS / Corrected SS =     .87683

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  ED         1.424312709   .090103541  1.243334421  1.605290997
  GSD         .400702215   .108942197   .181885372   .619519058
  EMIN       1.883147883   .450001982   .979292301  2.787003465
  EMAX      23.260687891  2.497849625 18.243609265 28.277766516

  Asymptotic Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .6931     .0203     .8715
  GSD          .6931    1.0000    -.2809     .8108
  EMIN         .0203    -.2809    1.0000    -.1568
  EMAX         .8715     .8108    -.1568    1.0000




Bootstrap statistics based on 100 samples

                                     95% Conf. Bounds     95% Trimmed Range
  Parameter  Estimate  Std. Error    Lower      Upper      Lower      Upper

  ED         1.4243127   .3533270   .7232352  2.1253902  1.2430473  2.7270275
  GSD         .4007022   .1782430   .0470295   .7543750   .1885072   .9212125
  EMIN       1.8831479   .5615656   .7688799  2.9974158  1.6531578  2.1377782
  EMAX      23.2606879 44.4499375 -64.937632 111.459007 17.7593356 68.7161670

  Bootstrap Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .7246     .2549     .5034
  GSD          .7246    1.0000    -.3527     .6003
  EMIN         .2549    -.3527    1.0000    -.5099
  EMAX         .5034     .6003    -.5099    1.0000

Constrained Nonlinear Regression

Notes
Output Created		21-FEB-2002 17:59:52
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss_US.sav
	Filter	wlc = 1 (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	54
Syntax		MODEL PROGRAM ED=1 GSD=.19 EMIN=192 EMAX=230 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR asat
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 4; ED >= -2; GSD <= 50; GSD >= .01; EMIN >= 0
  /BOOTSTRAP
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:01.77

All the derivatives will be calculated numerically.




  Iteration Residual SS          ED         GSD        EMIN        EMAX

     0.3    10521881.27  1.00000000  .190000000  192.000000  230.000000
     1.4    2450532.042  .919606401  .185176384  300.227647  821.394775
     2.5    2424057.424  .921378791  .213838714  300.054903  822.992788
     3.4    1468947.007  1.04647087  .177510445  246.578922  992.510190
     4.5    1466793.908  1.04594675  .184095507  252.212564  999.796240
     5.3    1449346.647  1.07183292  .166857637  255.855144  1015.07162
     6.3    1160083.351  1.09333210  .376651785  206.780144  1231.70935
     7.5    1150902.722  1.10309866  .402878583  217.269075  1252.15565
     8.2    1052026.993  1.09143220  .560613553  178.029464  1241.10118
     9.1    984000.3463  1.13647003  .525311029  198.303248  1239.00262
    10.1    882605.3508  1.28903234  .470708100  225.303805  1297.24365
    11.1    859549.9390  1.32608951  .507798483  216.055520  1339.86307
    12.1    842315.2665  1.37174645  .572442196  205.531034  1412.06410
    13.1    835830.3963  1.41924492  .613704053  203.896182  1475.67319
    14.1    832856.3524  1.46282927  .649230015  203.557321  1536.25434
    15.1    831936.3034  1.49444477  .669973648  203.390070  1579.37658
    16.1    831710.8979  1.51205604  .682043327  202.933134  1605.53651
    17.1    831681.6184  1.51942427  .685934118  202.806208  1616.10454
    18.1    831680.4048  1.52065899  .686871502  202.752685  1618.26391
    19.1    831680.3695  1.52071658  .686790905  202.765781  1618.28475
    20.1    831680.3685  1.52067717  .686769777  202.766996  1618.23674

Run stopped after 20 major iterations.
Optimal solution found.


Nonlinear Regression Summary Statistics     Dependent Variable ASAT

  Source                 DF  Sum of Squares  Mean Square

  Regression              4  17770090.6315  4442522.65789
  Residual               50   831680.36846    16633.60737
  Uncorrected Total      54  18601771.0000

  (Corrected Total)      53  7943102.83333

  R squared = 1 - Residual SS / Corrected SS =     .89530

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  ED         1.520677167   .276969885   .964366781  2.076987553
  GSD         .686769777   .211599909   .261758853  1.111780702
  EMIN      202.76699582 25.414531836 151.72040632 253.81358531
  EMAX      1618.2367420 387.53822737 839.84330418 2396.6301799




  Asymptotic Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .9213    -.2259     .9855
  GSD          .9213    1.0000    -.4067     .9361
  EMIN        -.2259    -.4067    1.0000    -.2957
  EMAX         .9855     .9361    -.2957    1.0000

Bootstrap statistics based on 100 samples

                                     95% Conf. Bounds     95% Trimmed Range
  Parameter  Estimate  Std. Error    Lower      Upper      Lower      Upper

  ED         1.5206772   .5002149   .5281422  2.5132121  1.1852377  3.3908471
  GSD         .6867698   .2375960   .2153277  1.1582118   .2714927  1.3291785
  EMIN      202.766996 27.9555848 147.297051 258.236941 185.768108 235.316543
  EMAX      1618.23674 1589.78930 -1536.2501 4772.72362 1275.53928 6495.02356

  Bootstrap Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .6221     .3362     .8961
  GSD          .6221    1.0000    -.3920     .5854
  EMIN         .3362    -.3920    1.0000     .1635
  EMAX         .8961     .5854     .1635    1.0000

